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Finding the Third Proportional to 377,110,719.75 and 581,807,785.13

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Solution

The third proportional to 377,110,719.75 and 581,807,785.13 is: 897,615,159.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,110,719.75 : 581,807,785.13 = 581,807,785.13 : x
  2. Step 2: Convert to fraction form
    377,110,719.75/581,807,785.13 = 581,807,785.13/x
  3. Step 3: Cross multiply
    377,110,719.75x = 581,807,785.13 × 581,807,785.13
  4. Step 4: Simplify right side
    377,110,719.75x = 338,500,298,832,058,176
  5. Step 5: Solve for x
    x = 338,500,298,832,058,176/377,110,719.75
  6. Step 6: Final answer
    x = 897,615,159.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.